1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mart [117]
2 years ago
15

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3).

Mathematics
1 answer:
jonny [76]2 years ago
5 0

Answer:

y=\frac{3}{4}x^2

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

y=a(x-h)^2+k where the vertex is (h,k)

Plug in the vertex (0,0)

y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

3=a(-2)^2\\3=4a\\\frac{3}{4} =a

Therefore, the value of a is \frac{3}{4}. Plug this back into y=ax^2:

y=\frac{3}{4}x^2

I hope this helps!

You might be interested in
PLEASE Answer
Burka [1]
A......



A................


A..... A
5 0
2 years ago
A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the b
Pachacha [2.7K]

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;

30% of N = 12

\frac{30}{100} x N = 12

30N = 12 x 100

30N = 1200

divide both sides by 30,

N = \frac{1200}{30}

   = 40

The number of gallons that would completely fill the bathtub is 40 gallons.

6 0
2 years ago
Bob rents bicycles in a local park. The rental fee is described as follows: A $3 flat fee plus $4 per hour. Suppose you want to
Marizza181 [45]

Answer: la  respuesta es 24

Step-by-step explanation:

7 0
3 years ago
Which value of x makes the following equation true?
Maurinko [17]
The value of x is 5.  A good tool to use for things like this is "Desmos Graphing Calculator.  It is free and there is no wait for an answer.
8 0
3 years ago
Read 2 more answers
Logic You find that the product of 93 and 6 is 558. He can you use addition to check your answer ? How can you use division yo c
frozen [14]
Addition: 93 can be added six times to determine the total

and division can be used to check your answer since it's the inverse operation of multiplication...take your solution of 558 and divide it by 6 (or 93) to see if 93 times six equals 558
3 0
3 years ago
Other questions:
  • Jon borrows 5.50 from his friends to pay for snacks, and 12.75 from his sister to go the movies. How much does he need to repay
    8·2 answers
  • I’m unsure how to solve this... help?
    6·2 answers
  • F(x)=4x-5, find f(-2)
    8·1 answer
  • Solve the solution of a system of linear equation<br><br> 1/2 x + y = - 6<br> 6 x + 2 y = 8
    13·1 answer
  • What is the product of three tenths and four hundredths
    8·1 answer
  • Match the solution set of each of the following inequalities with its graph.
    8·1 answer
  • Please help I’m doing points
    11·1 answer
  • Which of the following numbers is between 0.40 and 0.47?
    12·1 answer
  • Coach Carpenter and Mrs. Dyson each have a KPOP collection. For every five
    6·1 answer
  • Help me I don’t understand
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!